Beltrami Equation with Coefficient in Sobolev and Besov Spaces

Abstract

Abstract Our goal in this work is to present some function spaces on the complex plane ℂ, X (ℂ), for which the quasiregular solutions of the Beltrami equation, ∂̄ f ( z ) = μ ( z ) ∂ f ( z ), have first derivatives locally in X (ℂ), provided that the Beltrami coefficient μ belongs to X (ℂ).